A 1984 Ford Escort traveling at 50 mi / h experiences a drag force, because of rolling friction

step 1 And next question we have to find how far can the car travel on 1 liter of gasoline at 50 miles

A 1984 Ford Escort traveling at 50 mi / h experiences a drag...

A 1984 Ford Escort traveling at $50 \mathrm{mi} / \mathrm{h}$ experiences a drag force, because of rolling friction and air resistance, of about $360 \mathrm{~N}$ (roughly, $80 \mathrm{lb}$ ). $*$ The energy released by 1 liter of gasoline is about $3.2 \times 10^{7} \mathrm{~J}$ and is used with about $18 \%$ efficiency. How far can the car travel on 1. liter of gasoline at $50 \mathrm{mi} / \mathrm{h}$ ? Convert your answer to miles per gallon. $(1 \mathrm{mi}=1.6 \mathrm{~km}, 1 \mathrm{gal}=3.8$ liters. $)$

A 1984 Ford Escort traveling at $50 \mathrm{mi} / \mathrm{h}$ experiences a drag force, because of rolling friction and air resistance, of about $360 \mathrm{~N}$ (roughly, $80 \mathrm{lb}$ ). $*$ The energy released by 1 liter of gasoline is about $3.2 \times 10^{7} \mathrm{~J}$ and is used with about $18 \%$ efficiency. How far can the car travel on
1. liter of gasoline at $50 \mathrm{mi} / \mathrm{h}$ ? Convert your answer to miles per gallon. $(1 \mathrm{mi}=1.6 \mathrm{~km}, 1 \mathrm{gal}=3.8$ liters. $)$

Key Concepts

Work-Energy Principle

This principle states that the work performed by forces acting on an object results in a change in the object's energy. In the context of the problem, the work done by overcoming drag forces and rolling friction is directly related to the distance traveled, since work is the product of force and distance.

Energy Conversion Efficiency

Energy conversion efficiency is a measure of how effectively energy stored in fuel is transformed into useful work. In practical applications like automobiles, not all the chemical energy of fuel is converted to mechanical energy due to losses such as heat, sound, and friction; hence, an efficiency factor (like 18% in the problem) is used to calculate the actual work output.

Drag Force and Rolling Resistance

Drag force and rolling resistance are forces that oppose the motion of a vehicle. Drag is primarily due to air resistance, while rolling resistance is due to friction between the tires and the road. Understanding these forces is critical because they determine the work required to maintain constant speed, which in turn affects the energy consumption of the vehicle.

Unit Conversion and Dimensional Analysis

Unit conversion involves the process of translating quantities from one set of units to another, ensuring that calculations are dimensionally consistent. In problems like this one, converting units (for example, from liters to gallons or miles to kilometers) is essential for comparing energy usage and travel distances on standard scales.

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